Physics 260, Problem Set 6due:Tuesday, November 8 at NoonPlease place your completed problem sets in the “Physics 260” box in the physics departmentmailroom (Rutherford 103b). You are encouraged to discuss these problems with your colleagues,but you must write up your own solutions; the solutions you hand in should reflect your own workand understanding. Late problem sets will be penalized 10% per day late, unless an extension hasbeen obtained from me or a TAbeforethe due date.Reading: Chapters 17 and 18 of Bernstein et al.1. Consider a spherical planet of massMand radiusR.Using standard Newtonian gravity,compute the escape velocity of this planet (i.e. how fast an object would have to be shotupwards from the planet’s surface with constant velocity in order to escape from the planet’sgravitational pull). For what value ofRdoes the escape velocity equal the speed of light?How does this value ofRcompare to the Schwarzschild radius?
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